On the Plancherel formula for the (discrete) Laplacian in a Weyl chamber with repulsive boundary conditions at the Walls

DOI10.1007/s00023-004-0163-yzbMath1062.81050OpenAlexW2330656977MaRDI QIDQ1879221

Publication date: 22 September 2004

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/175479

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly solvable models; Bethe ansatz (82B23) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Many-body theory; quantum Hall effect (81V70) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Discrete operational calculus (44A55)

Related Items (12)

THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS ⋮ Diagonalization of an integrable discretization of the repulsive delta Bose gas on the circle ⋮ Current fluctuations of the stationary ASEP and six-vertex model ⋮ Discrete harmonic analysis on a Weyl alcove ⋮ Unitary representations of affine Hecke algebras related to Macdonald spherical functions ⋮ The semi-infinite \(q\)-boson system with boundary interaction ⋮ Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz ⋮ Finite-dimensional orthogonality structures for Hall-Littlewood polynomials ⋮ Orthogonality of Bethe ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove ⋮ Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions ⋮ Spectral theory for the -Boson particle system ⋮ On a family of symmetric rational functions

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